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Calc

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Find the point on the line 2 x + 7 y + 4 =0 which is closest to the point ( 0, 1 )

  • Calc - ,

    let P be that point
    slope of given line is -2/7
    so slope of line from P to (0,1) is 7/2
    and since (0,1) is the y-intercept,
    its equation is y = (7,2)x + 1

    solve the two equations to find P

    use substitution, i.e.,
    2x + 7((7/2)x + 1) = -4

    etc

  • Calc - ,

    i found x value of P how do I find the y value of P?

  • Calc - ,

    sub it back in the original equation.

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